Signature based analysis of m-Consecutive-k-out-of-n: F systems with exchangeable components

Authors

  • Serkan Eryilmaz,

    1. Department of Industrial Engineering, Atilim University, 06836, Incek, Ankara, Turkey
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  • Markos V. Koutras,

    1. Department of Statistics and Insurance Science, University of Piraeus, 80 Karaoli and Dimitriou str., 18534 Piraeus, Greece
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  • Ioannis S. Triantafyllou

    Corresponding author
    1. Department of Statistics and Insurance Science, University of Piraeus, 80 Karaoli and Dimitriou str., 18534 Piraeus, Greece
    • Department of Statistics and Insurance Science, University of Piraeus, 80 Karaoli and Dimitriou str., 18534 Piraeus, Greece
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Abstract

In this article, we study reliability properties of m-consecutive-k-out-of-n: F systems with exchangeable components. We deduce exact formulae and recurrence relations for the signature of the system. Closed form expressions for the survival function and the lifetime distribution as a mixture of the distribution of order statistics are established as well. These representations facilitate the computation of several reliability characteristics of the system for a given exchangeable joint distribution or survival function. Finally, we provide signature-based stochastic ordering results for the system's lifetime and investigate the IFR preservation property under the formulation of m-consecutive-k-out-of-n: F systems. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011

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